{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基于流行度的推荐"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "import sys\n",
    "reload(sys)\n",
    "sys.setdefaultencoding(\"utf-8\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-26T05:34:54.624167Z",
     "start_time": "2017-09-26T05:34:46.420964Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据\n",
    "用户(10万)、歌曲（3万）、播放次数、歌曲元数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = pd.read_csv('triplet_dataset_sub_song_merged.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5a905f000fc1ff3df7ca807d57edb608863db05d</td>\n",
       "      <td>SOAFTRR12AF72A8D4D</td>\n",
       "      <td>1</td>\n",
       "      <td>Harder Better Faster Stronger</td>\n",
       "      <td>Discovery</td>\n",
       "      <td>Daft Punk</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5a905f000fc1ff3df7ca807d57edb608863db05d</td>\n",
       "      <td>SOAIILB12A58A776F7</td>\n",
       "      <td>3</td>\n",
       "      <td>Phantom Part 1.5 (Album Version)</td>\n",
       "      <td>A Cross The Universe</td>\n",
       "      <td>Justice</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5a905f000fc1ff3df7ca807d57edb608863db05d</td>\n",
       "      <td>SOAJJDS12A8C13A3FB</td>\n",
       "      <td>1</td>\n",
       "      <td>I Got Mine</td>\n",
       "      <td>Attack &amp; Release</td>\n",
       "      <td>The Black Keys</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5a905f000fc1ff3df7ca807d57edb608863db05d</td>\n",
       "      <td>SOAMDXO12A8C131E2F</td>\n",
       "      <td>2</td>\n",
       "      <td>Pogo</td>\n",
       "      <td>Idealism</td>\n",
       "      <td>Digitalism</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5a905f000fc1ff3df7ca807d57edb608863db05d</td>\n",
       "      <td>SOAMPRJ12A8AE45F38</td>\n",
       "      <td>20</td>\n",
       "      <td>Rorol</td>\n",
       "      <td>Identification Parade</td>\n",
       "      <td>Octopus Project</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                       user                song  listen_count  \\\n",
       "0  5a905f000fc1ff3df7ca807d57edb608863db05d  SOAFTRR12AF72A8D4D             1   \n",
       "1  5a905f000fc1ff3df7ca807d57edb608863db05d  SOAIILB12A58A776F7             3   \n",
       "2  5a905f000fc1ff3df7ca807d57edb608863db05d  SOAJJDS12A8C13A3FB             1   \n",
       "3  5a905f000fc1ff3df7ca807d57edb608863db05d  SOAMDXO12A8C131E2F             2   \n",
       "4  5a905f000fc1ff3df7ca807d57edb608863db05d  SOAMPRJ12A8AE45F38            20   \n",
       "\n",
       "                              title                release      artist_name  \\\n",
       "0     Harder Better Faster Stronger              Discovery        Daft Punk   \n",
       "1  Phantom Part 1.5 (Album Version)   A Cross The Universe          Justice   \n",
       "2                        I Got Mine       Attack & Release   The Black Keys   \n",
       "3                              Pogo               Idealism       Digitalism   \n",
       "4                             Rorol  Identification Parade  Octopus Project   \n",
       "\n",
       "   year  \n",
       "0  2007  \n",
       "1     0  \n",
       "2  2008  \n",
       "3  2007  \n",
       "4  2002  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最流行的歌名"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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s2TLt379fvXv3VklJiSSppKRE1113nQ4cOKBly5YpOTlZCxYs0OjRo619bN68Wb169VLn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\nAAAAyokCCgAAoJz+H/f/snwCmaU1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110065790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_songs = data[['title','listen_count']].groupby('title').sum().reset_index()\n",
    "popular_songs_top_20 = popular_songs.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_songs_top_20['title']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_songs_top_20['listen_count'])\n",
    " \n",
    "plt.rcdefaults()    \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Listen Count')\n",
    "plt.title('Most popular songs')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最流行的releases/发行"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:31:19.717845Z",
     "start_time": "2017-09-24T14:31:14.004246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0YMAAbdiwQcuWLTtnrTFGDofDen7qz+dbU3jk0uFwuP18th6ncjqdcjqd55wV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111c7e410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_release = data[['release','listen_count']].groupby('release').sum().reset_index()\n",
    "popular_release_top_20 = popular_release.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_release_top_20['release']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_release_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Listen Count')\n",
    "plt.title('Most popular Release')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最流行的artists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:34:20.212228Z",
     "start_time": "2017-09-24T14:34:15.653934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3b6/4+Hjt3LlTBw4cUEhIiCRp4sSJio6O1muvvSY/Pz/NnDlT1atX15QpUyRJ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orMZuLEiSguLoa3t7dJx3V2dkZeXh6CgoLg6OiI4uJi+Pv7Iy8vD5s2bTLq1PC6ujq9H+vp6Wnw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\noIiIiIgM9D8UlbxH6ScYpQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115a4ee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_artist = data[['artist_name','listen_count']].groupby('artist_name').sum().reset_index()\n",
    "popular_artist_top_20 = popular_artist.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_artist_top_20['artist_name']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_artist_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Ltem Count')\n",
    "plt.title('Most popular Artists')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Song count distribution\n",
    "用户播放过的歌曲的数目"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#title列为歌曲的数目\n",
    "#count of title for each unique user\n",
    "user_song_count_distribution = data[['user','title']].groupby('user').count()\n",
    "user_song_count_distribution.rename(columns = {'title': 'played_song_count'},inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>played_song_count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>user</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0025bfe6248070545d23721083acd3f60451da4f</th>\n",
       "      <td>62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>002b63a7e2247de6d62bc62f253474edc7dd044c</th>\n",
       "      <td>334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>003a5e3285141b1a54edbc51fbfa1cc922023aae</th>\n",
       "      <td>98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>003f1e939952a57d1a5bc990727acad5ceea97b4</th>\n",
       "      <td>27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00706e2c0475aef9243437f8a5c8ccb19b18561e</th>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          played_song_count\n",
       "user                                                       \n",
       "0025bfe6248070545d23721083acd3f60451da4f                 62\n",
       "002b63a7e2247de6d62bc62f253474edc7dd044c                334\n",
       "003a5e3285141b1a54edbc51fbfa1cc922023aae                 98\n",
       "003f1e939952a57d1a5bc990727acad5ceea97b4                 27\n",
       "00706e2c0475aef9243437f8a5c8ccb19b18561e                 23"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>played_song_count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>user</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f</th>\n",
       "      <td>609</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c1255748c06ee3f6440c51c439446886c7807095</th>\n",
       "      <td>598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0c2932cb475b83b61039bdfbb72c14580b8fad2b</th>\n",
       "      <td>590</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119b7c88d58d0c6eb051365c103da5caf817bea6</th>\n",
       "      <td>566</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc</th>\n",
       "      <td>566</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          played_song_count\n",
       "user                                                       \n",
       "4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f                609\n",
       "c1255748c06ee3f6440c51c439446886c7807095                598\n",
       "0c2932cb475b83b61039bdfbb72c14580b8fad2b                590\n",
       "119b7c88d58d0c6eb051365c103da5caf817bea6                566\n",
       "8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc                566"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution = user_song_count_distribution.sort_values(by='played_song_count',ascending = False)\n",
    "user_song_count_distribution.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    4998.000000\n",
       "mean       98.837735\n",
       "std        76.764259\n",
       "min         1.000000\n",
       "25%        42.000000\n",
       "50%        79.000000\n",
       "75%       135.000000\n",
       "max       609.000000\n",
       "Name: played_song_count, dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#分布的统计量\n",
    "user_song_count_distribution.played_song_count.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "每个用户平均播放107首歌曲/中位数为89首歌曲"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T15:11:28.003535Z",
     "start_time": "2017-09-24T15:11:27.461150Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ONp7Ut6j+Faa0vrPwMt9da43y6mJ3gHTu3LnYu73Onj1rBgwYYJo3b27Cw8NNcHCwadSo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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115b9b2d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = user_song_count_distribution.played_song_count\n",
    "n, bins, patches = plt.hist(x, 50, facecolor='green', alpha=0.75)\n",
    "plt.xlabel('Played Songs Count')\n",
    "plt.ylabel('Num of Users')\n",
    "plt.title(r'$\\mathrm{Histogram\\ of\\ User\\ Play\\ Count\\ Distribution}\\ $')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Recommendation Engines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Pop_Recommender import popularity_recommender\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Popularity based recommendations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train, test = train_test_split(data, test_size = 0.40, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>140731</th>\n",
       "      <td>cf5d3aee5a31f8f32d48b06b0abda80a1098e3d4</td>\n",
       "      <td>SOYVFTH12A67020868</td>\n",
       "      <td>3</td>\n",
       "      <td>We Belong Together</td>\n",
       "      <td>We Belong Together</td>\n",
       "      <td>Mariah Carey / Jadakiss / Styles P</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218359</th>\n",
       "      <td>2bfff6852fb376c8a7b023078541da0aeceb448b</td>\n",
       "      <td>SODGVGW12AC9075A8D</td>\n",
       "      <td>2</td>\n",
       "      <td>Somebody To Love</td>\n",
       "      <td>My Worlds</td>\n",
       "      <td>Justin Bieber</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>239898</th>\n",
       "      <td>99259b34141119e5577009ae478cb9bf3f47f34d</td>\n",
       "      <td>SOEBYTE12A8C14389C</td>\n",
       "      <td>1</td>\n",
       "      <td>Estoy Aquí</td>\n",
       "      <td>The Remixes</td>\n",
       "      <td>Shakira</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>350018</th>\n",
       "      <td>9cc487a62c121c4d7d0e2d208c69f1908c347b77</td>\n",
       "      <td>SOJSFUH12AB018B9E0</td>\n",
       "      <td>5</td>\n",
       "      <td>Ugly Girls</td>\n",
       "      <td>Natural</td>\n",
       "      <td>Kalle Baah</td>\n",
       "      <td>1992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87545</th>\n",
       "      <td>174a97b4642e66ca8805416d13862151828130b9</td>\n",
       "      <td>SOQLUTQ12A8AE48037</td>\n",
       "      <td>5</td>\n",
       "      <td>The Pretender</td>\n",
       "      <td>Echoes_ Silence_ Patience &amp; Grace</td>\n",
       "      <td>Foo Fighters</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            user                song  \\\n",
       "140731  cf5d3aee5a31f8f32d48b06b0abda80a1098e3d4  SOYVFTH12A67020868   \n",
       "218359  2bfff6852fb376c8a7b023078541da0aeceb448b  SODGVGW12AC9075A8D   \n",
       "239898  99259b34141119e5577009ae478cb9bf3f47f34d  SOEBYTE12A8C14389C   \n",
       "350018  9cc487a62c121c4d7d0e2d208c69f1908c347b77  SOJSFUH12AB018B9E0   \n",
       "87545   174a97b4642e66ca8805416d13862151828130b9  SOQLUTQ12A8AE48037   \n",
       "\n",
       "        listen_count               title                            release  \\\n",
       "140731             3  We Belong Together                 We Belong Together   \n",
       "218359             2    Somebody To Love                          My Worlds   \n",
       "239898             1          Estoy Aquí                        The Remixes   \n",
       "350018             5          Ugly Girls                            Natural   \n",
       "87545              5       The Pretender  Echoes_ Silence_ Patience & Grace   \n",
       "\n",
       "                               artist_name  year  \n",
       "140731  Mariah Carey / Jadakiss / Styles P  2005  \n",
       "218359                       Justin Bieber  2010  \n",
       "239898                             Shakira  1995  \n",
       "350018                          Kalle Baah  1992  \n",
       "87545                         Foo Fighters  2007  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pop_recommender = popularity_recommender()\n",
    "pop_recommender.fit(train, 'user','title')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#基于流行度的推荐中，推荐内容对所有的用户都一样，随便取一个用户\n",
    "user = test.iat[0,0]\n",
    "recommendations = pop_recommender.predict(user)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>title</th>\n",
       "      <th>score</th>\n",
       "      <th>rank</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
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       "      <th>972</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Dog Days Are Over (Radio Edit)</td>\n",
       "      <td>712</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3479</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Sehr kosmisch</td>\n",
       "      <td>628</td>\n",
       "      <td>2.0</td>\n",
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       "      <td>You're The One</td>\n",
       "      <td>621</td>\n",
       "      <td>3.0</td>\n",
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       "      <th>3313</th>\n",
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       "      <td>Revelry</td>\n",
       "      <td>595</td>\n",
       "      <td>4.0</td>\n",
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       "    <tr>\n",
       "      <th>4453</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Use Somebody</td>\n",
       "      <td>583</td>\n",
       "      <td>5.0</td>\n",
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       "    <tr>\n",
       "      <th>713</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Clocks</td>\n",
       "      <td>556</td>\n",
       "      <td>6.0</td>\n",
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       "    <tr>\n",
       "      <th>4301</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Tive Sim</td>\n",
       "      <td>555</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1311</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Fireflies</td>\n",
       "      <td>549</td>\n",
       "      <td>8.0</td>\n",
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       "    <tr>\n",
       "      <th>3472</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Secrets</td>\n",
       "      <td>546</td>\n",
       "      <td>9.0</td>\n",
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       "    <tr>\n",
       "      <th>1684</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Hey_ Soul Sister</td>\n",
       "      <td>528</td>\n",
       "      <td>10.0</td>\n",
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       "    <tr>\n",
       "      <th>4782</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Yellow</td>\n",
       "      <td>513</td>\n",
       "      <td>11.0</td>\n",
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       "    <tr>\n",
       "      <th>4421</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Undo</td>\n",
       "      <td>510</td>\n",
       "      <td>12.0</td>\n",
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       "    <tr>\n",
       "      <th>623</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Canada</td>\n",
       "      <td>508</td>\n",
       "      <td>13.0</td>\n",
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       "    <tr>\n",
       "      <th>4145</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>The Scientist</td>\n",
       "      <td>496</td>\n",
       "      <td>14.0</td>\n",
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       "    <tr>\n",
       "      <th>565</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Bulletproof</td>\n",
       "      <td>484</td>\n",
       "      <td>15.0</td>\n",
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       "    <tr>\n",
       "      <th>810</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Creep (Explicit)</td>\n",
       "      <td>469</td>\n",
       "      <td>16.0</td>\n",
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       "    <tr>\n",
       "      <th>645</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Catch You Baby (Steve Pitron &amp; Max Sanna Radio...</td>\n",
       "      <td>455</td>\n",
       "      <td>17.0</td>\n",
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       "      <th>1741</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Horn Concerto No. 4 in E flat K495: II. Romanc...</td>\n",
       "      <td>450</td>\n",
       "      <td>18.0</td>\n",
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       "    <tr>\n",
       "      <th>2143</th>\n",
       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
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       "    <tr>\n",
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       "      <td>ea70e731dc2de65d10be9100ef7a5c778a57ad12</td>\n",
       "      <td>Supermassive Black Hole (Twilight Soundtrack V...</td>\n",
       "      <td>442</td>\n",
       "      <td>20.0</td>\n",
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      ],
      "text/plain": [
       "                                       user_id  \\\n",
       "972   ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "3479  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "4850  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "3313  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "4453  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "713   ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "4301  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "1311  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "3472  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "1684  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "4782  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "4421  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "623   ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "4145  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "565   ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "810   ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "645   ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "1741  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "2143  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "3873  ea70e731dc2de65d10be9100ef7a5c778a57ad12   \n",
       "\n",
       "                                                  title  score  rank  \n",
       "972                      Dog Days Are Over (Radio Edit)    712   1.0  \n",
       "3479                                      Sehr kosmisch    628   2.0  \n",
       "4850                                     You're The One    621   3.0  \n",
       "3313                                            Revelry    595   4.0  \n",
       "4453                                       Use Somebody    583   5.0  \n",
       "713                                              Clocks    556   6.0  \n",
       "4301                                           Tive Sim    555   7.0  \n",
       "1311                                          Fireflies    549   8.0  \n",
       "3472                                            Secrets    546   9.0  \n",
       "1684                                   Hey_ Soul Sister    528  10.0  \n",
       "4782                                             Yellow    513  11.0  \n",
       "4421                                               Undo    510  12.0  \n",
       "623                                              Canada    508  13.0  \n",
       "4145                                      The Scientist    496  14.0  \n",
       "565                                         Bulletproof    484  15.0  \n",
       "810                                    Creep (Explicit)    469  16.0  \n",
       "645   Catch You Baby (Steve Pitron & Max Sanna Radio...    455  17.0  \n",
       "1741  Horn Concerto No. 4 in E flat K495: II. Romanc...    450  18.0  \n",
       "2143                                         Just Dance    448  19.0  \n",
       "3873  Supermassive Black Hole (Twilight Soundtrack V...    442  20.0  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recommendations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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